Search a number
-
+
74450942449 = 13213921512
BaseRepresentation
bin100010101010110011…
…1110011100111110001
321010011121120202001221
41011111213303213301
52204433420124244
654111410025041
75243651366152
oct1052547634761
9233147522057
1074450942449
1129635686004
1212519578181
137036605a00
143863bd1929
151e0b25d784
hex11559f39f1

74450942449 has 27 divisors (see below), whose sum is σ = 81743964939. Its totient is φ = 67777678800.

The previous prime is 74450942441. The next prime is 74450942459. The reversal of 74450942449 is 94424905447.

It is a happy number.

The square root of 74450942449 is 272857.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11013453025 + 63437489424 = 104945^2 + 251868^2 .

It is not a de Polignac number, because 74450942449 - 23 = 74450942441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74450942396 and 74450942405.

It is not an unprimeable number, because it can be changed into a prime (74450942441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 493052524 + ... + 493052674.

It is an arithmetic number, because the mean of its divisors is an integer number (3027554257).

Almost surely, 274450942449 is an apocalyptic number.

74450942449 is the 272857-th square number.

74450942449 is the 136429-th centered octagonal number.

It is an amenable number.

74450942449 is a deficient number, since it is larger than the sum of its proper divisors (7293022490).

74450942449 is an equidigital number, since it uses as much as digits as its factorization.

74450942449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 74450942449 in words is "seventy-four billion, four hundred fifty million, nine hundred forty-two thousand, four hundred forty-nine".

Divisors: 1 13 139 151 169 1807 1963 19321 20989 22801 23491 25519 251173 272857 296413 2917471 3169339 3265249 3547141 3853369 37927123 41201407 440538121 493052599 535618291 5726995573 74450942449